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Finding the Fourth Proportional to 75,161.40, 112,871.70 and 53,129.40

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Solution

The fourth proportional to 75,161.40, 112,871.70 and 53,129.40 is: 79,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,161.40 : 112,871.70 = 53,129.40 : x
  2. Step 2: Convert to fraction form
    75,161.40/112,871.70 = 53,129.40/x
  3. Step 3: Cross multiply
    75,161.40x = 112,871.70 × 53,129.40
  4. Step 4: Simplify right side
    75,161.40x = 5,996,805,697.98
  5. Step 5: Solve for x
    x = 5,996,805,697.98/75,161.40
  6. Step 6: Final answer
    x = 79,785.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.